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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_d0c4ae63660968bf6b1c77a1e8aecf95.html">helib</a></li>  </ul>
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<div class="title">norms.h</div>  </div>
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<a href="norms_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* Copyright (C) 2012-2020 IBM Corp.</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * This program is Licensed under the Apache License, Version 2.0</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * (the &quot;License&quot;); you may not use this file except in compliance</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * with the License. You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *   http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * limitations under the License. See accompanying LICENSE file.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifndef HELIB_NORMS_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#define HELIB_NORMS_H</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;complex&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;NTL/ZZX.h&gt;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;NTL/xdouble.h&gt;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">//#include &lt;NTL/RR.h&gt;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="zz_x_8h.html">helib/zzX.h</a>&gt;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacehelib.html">helib</a> {</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">class </span>DoubleCRT;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keywordtype">long</span> <a class="code" href="namespacehelib.html#afb375497516b4f80ee52cca6bbdf07fa">sumOfCoeffs</a>(<span class="keyword">const</span> <a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; f);          <span class="comment">// = f(1)</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;NTL::ZZ <a class="code" href="namespacehelib.html#afb375497516b4f80ee52cca6bbdf07fa">sumOfCoeffs</a>(<span class="keyword">const</span> NTL::ZZX&amp; f);  <span class="comment">// = f(1)</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;NTL::ZZ <a class="code" href="namespacehelib.html#afb375497516b4f80ee52cca6bbdf07fa">sumOfCoeffs</a>(<span class="keyword">const</span> DoubleCRT&amp; f); <span class="comment">// somewhat lame implementation</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">   34</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">largestCoeff</a>(<span class="keyword">const</span> NTL::Vec&lt;T&gt;&amp; f)</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;{</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keywordtype">double</span> mx = 0;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; x : f) {</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">auto</span> sz = abs(x);</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keywordflow">if</span> (mx &lt; sz)</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      mx = NTL::conv&lt;double&gt;(sz);</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  }</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="keywordflow">return</span> mx;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacehelib.html#a77f80e02dad1c557005618be367c28f8">   45</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">largestCoeff</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; f)</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;{</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="keywordtype">double</span> mx = 0;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; x : f) {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">auto</span> sz = abs(x);</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keywordflow">if</span> (mx &lt; sz)</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      mx = NTL::conv&lt;double&gt;(sz);</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  }</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <span class="keywordflow">return</span> mx;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;NTL::ZZ <a class="code" href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">largestCoeff</a>(<span class="keyword">const</span> NTL::ZZX&amp; f);</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;NTL::ZZ <a class="code" href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">largestCoeff</a>(<span class="keyword">const</span> NTL::Vec&lt;NTL::ZZ&gt;&amp; f);</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment">// somebody eliminated this...please leave it here!</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;NTL::ZZ <a class="code" href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">largestCoeff</a>(<span class="keyword">const</span> DoubleCRT&amp; f);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">coeffsL2NormSquared</a>(<span class="keyword">const</span> <a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; f);             <span class="comment">// l2 norm^2</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;NTL::xdouble <a class="code" href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">coeffsL2NormSquared</a>(<span class="keyword">const</span> NTL::ZZX&amp; f);  <span class="comment">// l2 norm^2</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;NTL::xdouble <a class="code" href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">coeffsL2NormSquared</a>(<span class="keyword">const</span> DoubleCRT&amp; f); <span class="comment">// l2 norm^2</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacehelib.html#a52c99506d6fcb0a0f0611a555e77fab3">   68</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a52c99506d6fcb0a0f0611a555e77fab3">coeffsL2Norm</a>(<span class="keyword">const</span> <a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; f) <span class="comment">// l2 norm</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;{</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  <span class="keywordflow">return</span> sqrt(<a class="code" href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">coeffsL2NormSquared</a>(f));</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;}</div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="namespacehelib.html#a3ae9e83dde78e745c57a36e18fc4372b">   72</a></span>&#160;<span class="keyword">inline</span> NTL::xdouble <a class="code" href="namespacehelib.html#a52c99506d6fcb0a0f0611a555e77fab3">coeffsL2Norm</a>(<span class="keyword">const</span> NTL::ZZX&amp; f) <span class="comment">// l2 norm</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;{</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  <span class="keywordflow">return</span> sqrt(<a class="code" href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">coeffsL2NormSquared</a>(f));</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;}</div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="namespacehelib.html#a3f7865779ff5d7047037583852782963">   76</a></span>&#160;<span class="keyword">inline</span> NTL::xdouble <a class="code" href="namespacehelib.html#a52c99506d6fcb0a0f0611a555e77fab3">coeffsL2Norm</a>(<span class="keyword">const</span> <a class="code" href="classhelib_1_1_double_c_r_t.html">DoubleCRT</a>&amp; f) <span class="comment">// l2 norm</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;{</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  <span class="keywordflow">return</span> sqrt(<a class="code" href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">coeffsL2NormSquared</a>(f));</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;}</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="keyword">typedef</span> std::complex&lt;double&gt; <a class="code" href="namespacehelib.html#a719cb433e43e9f4a88ada8b72d3b715d">cx_double</a>;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a309c3ca72a6d812a3ea23d62e48e42bf">embeddingLargestCoeff</a>(<span class="keyword">const</span> <a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; f, <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a309c3ca72a6d812a3ea23d62e48e42bf">embeddingLargestCoeff</a>(<span class="keyword">const</span> std::vector&lt;double&gt;&amp; f,</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                             <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160; </div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">// computes two for the price of one</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a338704cc219609b1663cc3b5bf1cb631">embeddingLargestCoeff_x2</a>(<span class="keywordtype">double</span>&amp; norm1,</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                              <span class="keywordtype">double</span>&amp; norm2,</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                              <span class="keyword">const</span> std::vector&lt;double&gt;&amp; f1,</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                              <span class="keyword">const</span> std::vector&lt;double&gt;&amp; f2,</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                              <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;NTL::xdouble <a class="code" href="namespacehelib.html#a309c3ca72a6d812a3ea23d62e48e42bf">embeddingLargestCoeff</a>(<span class="keyword">const</span> NTL::ZZX&amp; f, <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="comment">// FIXME: need to to understand and document why te v array</span></div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="comment">// gets initialized in the order that it does...what else</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="comment">// in the library depends on this particular order.</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#affe1779765ee918f4c7e869ed86baf6a">CKKS_canonicalEmbedding</a>(std::vector&lt;cx_double&gt;&amp; v,</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                             <span class="keyword">const</span> <a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; f,</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                             <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160; </div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#affe1779765ee918f4c7e869ed86baf6a">CKKS_canonicalEmbedding</a>(std::vector&lt;cx_double&gt;&amp; v,</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                             <span class="keyword">const</span> NTL::ZZX&amp; f,</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                             <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160; </div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#affe1779765ee918f4c7e869ed86baf6a">CKKS_canonicalEmbedding</a>(std::vector&lt;cx_double&gt;&amp; v,</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                             <span class="keyword">const</span> std::vector&lt;double&gt;&amp; f,</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                             <span class="keyword">const</span> PAlgebra&amp; palg);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160; </div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a5ec40f00efeb846267027bd14353fe4a">CKKS_embedInSlots</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; f,</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                       <span class="keyword">const</span> std::vector&lt;cx_double&gt;&amp; v,</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                       <span class="keyword">const</span> PAlgebra&amp; palg,</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                       <span class="keywordtype">double</span> scaling);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160; </div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;} <span class="comment">// namespace helib</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160; </div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="preprocessor">#endif // ifndef HELIB_NORMS_H</span></div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="anamespacehelib_html_a4d6002f36f1a61982fded09adf1331ca"><div class="ttname"><a href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">helib::zzX</a></div><div class="ttdeci">NTL::Vec&lt; long &gt; zzX</div><div class="ttdef"><b>Definition:</b> zzX.h:24</div></div>
<div class="ttc" id="aclasshelib_1_1_double_c_r_t_html"><div class="ttname"><a href="classhelib_1_1_double_c_r_t.html">helib::DoubleCRT</a></div><div class="ttdoc">Implementing polynomials (elements in the ring R_Q) in double-CRT form.</div><div class="ttdef"><b>Definition:</b> DoubleCRT.h:76</div></div>
<div class="ttc" id="anamespacehelib_html_afb375497516b4f80ee52cca6bbdf07fa"><div class="ttname"><a href="namespacehelib.html#afb375497516b4f80ee52cca6bbdf07fa">helib::sumOfCoeffs</a></div><div class="ttdeci">long sumOfCoeffs(const zzX &amp;f)</div><div class="ttdef"><b>Definition:</b> norms.cpp:40</div></div>
<div class="ttc" id="anamespacehelib_html_a309c3ca72a6d812a3ea23d62e48e42bf"><div class="ttname"><a href="namespacehelib.html#a309c3ca72a6d812a3ea23d62e48e42bf">helib::embeddingLargestCoeff</a></div><div class="ttdeci">NTL::xdouble embeddingLargestCoeff(const Ctxt &amp;ctxt, const SecKey &amp;sk)</div><div class="ttdef"><b>Definition:</b> debugging.cpp:61</div></div>
<div class="ttc" id="anamespacehelib_html_a52c99506d6fcb0a0f0611a555e77fab3"><div class="ttname"><a href="namespacehelib.html#a52c99506d6fcb0a0f0611a555e77fab3">helib::coeffsL2Norm</a></div><div class="ttdeci">double coeffsL2Norm(const zzX &amp;f)</div><div class="ttdef"><b>Definition:</b> norms.h:68</div></div>
<div class="ttc" id="anamespacehelib_html_a719cb433e43e9f4a88ada8b72d3b715d"><div class="ttname"><a href="namespacehelib.html#a719cb433e43e9f4a88ada8b72d3b715d">helib::cx_double</a></div><div class="ttdeci">std::complex&lt; double &gt; cx_double</div><div class="ttdef"><b>Definition:</b> EncryptedArray.h:32</div></div>
<div class="ttc" id="anamespacehelib_html"><div class="ttname"><a href="namespacehelib.html">helib</a></div><div class="ttdef"><b>Definition:</b> apiAttributes.h:21</div></div>
<div class="ttc" id="anamespacehelib_html_affe1779765ee918f4c7e869ed86baf6a"><div class="ttname"><a href="namespacehelib.html#affe1779765ee918f4c7e869ed86baf6a">helib::CKKS_canonicalEmbedding</a></div><div class="ttdeci">void CKKS_canonicalEmbedding(std::vector&lt; cx_double &gt; &amp;v, const zzX &amp;f, const PAlgebra &amp;palg)</div><div class="ttdef"><b>Definition:</b> norms.cpp:520</div></div>
<div class="ttc" id="anamespacehelib_html_adb4453a3ae42dffc130876e783bea3fe"><div class="ttname"><a href="namespacehelib.html#adb4453a3ae42dffc130876e783bea3fe">helib::largestCoeff</a></div><div class="ttdeci">double largestCoeff(const NTL::Vec&lt; T &gt; &amp;f)</div><div class="ttdoc">The L-infinity norm of an element (in coefficient representation)</div><div class="ttdef"><b>Definition:</b> norms.h:34</div></div>
<div class="ttc" id="anamespacehelib_html_a338704cc219609b1663cc3b5bf1cb631"><div class="ttname"><a href="namespacehelib.html#a338704cc219609b1663cc3b5bf1cb631">helib::embeddingLargestCoeff_x2</a></div><div class="ttdeci">void embeddingLargestCoeff_x2(double &amp;norm1, double &amp;norm2, const std::vector&lt; double &gt; &amp;f1, const std::vector&lt; double &gt; &amp;f2, const PAlgebra &amp;palg)</div><div class="ttdef"><b>Definition:</b> norms.cpp:415</div></div>
<div class="ttc" id="anamespacehelib_html_a5ec40f00efeb846267027bd14353fe4a"><div class="ttname"><a href="namespacehelib.html#a5ec40f00efeb846267027bd14353fe4a">helib::CKKS_embedInSlots</a></div><div class="ttdeci">void CKKS_embedInSlots(zzX &amp;f, const std::vector&lt; cx_double &gt; &amp;v, const PAlgebra &amp;palg, double scaling)</div><div class="ttdef"><b>Definition:</b> norms.cpp:569</div></div>
<div class="ttc" id="anamespacehelib_html_a05eeef94d05d407f020712567c5eef27"><div class="ttname"><a href="namespacehelib.html#a05eeef94d05d407f020712567c5eef27">helib::coeffsL2NormSquared</a></div><div class="ttdeci">double coeffsL2NormSquared(const zzX &amp;f)</div><div class="ttdoc">The L2-norm of an element (in coefficient representation)</div><div class="ttdef"><b>Definition:</b> norms.cpp:90</div></div>
<div class="ttc" id="azz_x_8h_html"><div class="ttname"><a href="zz_x_8h.html">zzX.h</a></div></div>
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